Yes, child is a Scrabble word!
...and is worth 11 points in Scrabble, and 12 points in Words with Friends
child
Noun
1. A young person of either sex
2. A human offspring (son or daughter) of any age
3. An immature childish person
4. A member of a clan or tribe
What Scrabble words can I make with the letters in child?
4 Letter Words
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3 Letter Words
2 Letter Words